Discovery of carbon nanotubes and their subsequent applications caused an active field of experimental, nu-merical and analytical researches.The modification of nonlocal elasticity by Eringen [1] proposed by Lim [2] is used in the paper to describe the large transverse vibrations of nanotube conveying viscous fluid with constant velocity.The nanotube is subjected to an axial time dependent force as well as the axial displacement due to a nonlinear effect.